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Volume 17, Issue 2
Mixed Finite Element Methods for a Strongly Nonlinear Parabolic Problem

Yan-Ping Chen

J. Comp. Math., 17 (1999), pp. 209-220.

Published online: 1999-04

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  • Abstract

A mixed finite element method is developed to approximate the solution of a strongly nonlinear second-order parabolic problem. The existence and uniqueness of the approximation are demonstrated and $L^2$-error estimates are established for both the scalar function and the flux. Results are given for the continuous-time case.  

  • Keywords

Finite element method, Nonlinear parabolic problem.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-209, author = {Chen , Yan-Ping}, title = {Mixed Finite Element Methods for a Strongly Nonlinear Parabolic Problem}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {2}, pages = {209--220}, abstract = {

A mixed finite element method is developed to approximate the solution of a strongly nonlinear second-order parabolic problem. The existence and uniqueness of the approximation are demonstrated and $L^2$-error estimates are established for both the scalar function and the flux. Results are given for the continuous-time case.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9095.html} }
TY - JOUR T1 - Mixed Finite Element Methods for a Strongly Nonlinear Parabolic Problem AU - Chen , Yan-Ping JO - Journal of Computational Mathematics VL - 2 SP - 209 EP - 220 PY - 1999 DA - 1999/04 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9095.html KW - Finite element method, Nonlinear parabolic problem. AB -

A mixed finite element method is developed to approximate the solution of a strongly nonlinear second-order parabolic problem. The existence and uniqueness of the approximation are demonstrated and $L^2$-error estimates are established for both the scalar function and the flux. Results are given for the continuous-time case.  

Chen , Yan-Ping. (1999). Mixed Finite Element Methods for a Strongly Nonlinear Parabolic Problem. Journal of Computational Mathematics. 17 (2). 209-220. doi:
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